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Finding the Third Proportional to 71,588 and 155,474

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Solution

The third proportional to 71,588 and 155,474 is: 337,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,588 : 155,474 = 155,474 : x
  2. Step 2: Convert to fraction form
    71,588/155,474 = 155,474/x
  3. Step 3: Cross multiply
    71,588x = 155,474 × 155,474
  4. Step 4: Simplify right side
    71,588x = 24,172,164,676
  5. Step 5: Solve for x
    x = 24,172,164,676/71,588
  6. Step 6: Final answer
    x = 337,656.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.